Verbal Reasoning - Mental Ability Questions

Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.

Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.

Therefore the given statement that 'Every rational number is an integer' is FALSE.

The sequence in first column is x 5. Thus, 1 x 5 = 5,  5 x 5 = 25,  25 x 5 = 125.
The sequence in third column is x 2. Thus, 7x 2 = 14,  14 x 2 = 28,  28 x 2 = 56.
The sequence in second column is x 4.
.'. Missin number = 12 x 4 = 48.

The given expression can be simplified as

6 ÷ 2 (1 + 2)

The expression can be simplified further by the order of operations, using BODMAS rule.

First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.

Now, the expression becomes 6 ÷ 2 (3)

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3.

6 ÷ 2 × 3

= 3 × 3

= 9

But not  6÷2×3 = 6 ÷ 6 = 1

Hence, 6 ÷ 2 (1 + 2) = 9.